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Modulus of subgrade reaction using 30 cm diameter plate is obtained as 200 N/cm3. The value of the same (in N/cm3) using the standard plate will be __________ N/cm3.
Correct answer is '80'. Can you explain this answer?
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Modulus of subgrade reaction using 30 cm diameter plate is obtained as...
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Modulus of subgrade reaction using 30 cm diameter plate is obtained as...
Given information:
- Modulus of subgrade reaction using 30 cm diameter plate = 200 N/cm3
To find:
- Modulus of subgrade reaction using standard plate
Solution:
The modulus of subgrade reaction is defined as the pressure per unit settlement when a rigid plate is placed on the soil surface and loaded with a given force.
The modulus of subgrade reaction (k) is given by:
k = q/P
where,
q = applied load per unit area (N/m2 or N/cm2)
P = settlement of the plate (m or cm)
The modulus of subgrade reaction is dependent on the size of the plate used for the test. The ASTM (American Society for Testing and Materials) recommends the use of a standard plate with a diameter of 30 inches (76.2 cm) for determining the modulus of subgrade reaction.
To find the modulus of subgrade reaction using the standard plate, we can use the following formula:
k2 = k1 (d2/d1)^4
where,
k1 = modulus of subgrade reaction using 30 cm diameter plate
k2 = modulus of subgrade reaction using standard plate
d1 = diameter of the 30 cm plate = 30 cm
d2 = diameter of the standard plate = 76.2 cm
Substituting the given values, we get:
k2 = 200 (76.2/30)^4
k2 = 80 N/cm3
Therefore, the modulus of subgrade reaction using the standard plate is 80 N/cm3.
- Modulus of subgrade reaction using 30 cm diameter plate = 200 N/cm3
To find:
- Modulus of subgrade reaction using standard plate
Solution:
The modulus of subgrade reaction is defined as the pressure per unit settlement when a rigid plate is placed on the soil surface and loaded with a given force.
The modulus of subgrade reaction (k) is given by:
k = q/P
where,
q = applied load per unit area (N/m2 or N/cm2)
P = settlement of the plate (m or cm)
The modulus of subgrade reaction is dependent on the size of the plate used for the test. The ASTM (American Society for Testing and Materials) recommends the use of a standard plate with a diameter of 30 inches (76.2 cm) for determining the modulus of subgrade reaction.
To find the modulus of subgrade reaction using the standard plate, we can use the following formula:
k2 = k1 (d2/d1)^4
where,
k1 = modulus of subgrade reaction using 30 cm diameter plate
k2 = modulus of subgrade reaction using standard plate
d1 = diameter of the 30 cm plate = 30 cm
d2 = diameter of the standard plate = 76.2 cm
Substituting the given values, we get:
k2 = 200 (76.2/30)^4
k2 = 80 N/cm3
Therefore, the modulus of subgrade reaction using the standard plate is 80 N/cm3.
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Modulus of subgrade reaction using 30 cm diameter plate is obtained as...
K1 a1 = K2 a2
30 × 200 = K2 × 75
K2 = 80
30 × 200 = K2 × 75
K2 = 80
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Modulus of subgrade reaction using 30 cm diameter plate is obtained as 200 N/cm3. The value of the same (in N/cm3) using the standard plate will be __________ N/cm3.Correct answer is '80'. Can you explain this answer?
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